Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-28
JHEP 0206:033,2002
Physics
High Energy Physics
High Energy Physics - Theory
10 pages; final version to appear in JHEP
Scientific paper
10.1088/1126-6708/2002/06/033
We show that the Lukierski et al. model, invariant with respect to the two-fold centrally extended Galilei group, can be decomposed into an infinite number of independent copies (differing in their spin) of the ``exotic'' particle of Duval et al. The difference between the two models is found to be sensitive to electromagnetic coupling. The nature of the noncommutative plane coordinates is discussed in the light of the exotic Galilean symmetry. We prove that the first model, interpreted as describing a non-relativistic anyon, is the non-relativistic limit of a particle with torsion related to relativistic anyons.
Horváthy Peter A.
Plyushchay Mikhail S.
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